Halbeisen, Lorenz; Hungerbühler, Norbert Pairing Pythagorean pairs. (English) Zbl 07452408 J. Number Theory 233, 467-480 (2022). MSC: 11D72 11G05 PDF BibTeX XML Cite \textit{L. Halbeisen} and \textit{N. Hungerbühler}, J. Number Theory 233, 467--480 (2022; Zbl 07452408) Full Text: DOI arXiv OpenURL
Aistleitner, Christoph; El-Baz, Daniel; Munsch, Marc A pair correlation problem, and counting lattice points with the zeta function. (English) Zbl 07405882 Geom. Funct. Anal. 31, No. 3, 483-512 (2021). MSC: 11K06 11J83 11M06 11B05 11J25 11J71 PDF BibTeX XML Cite \textit{C. Aistleitner} et al., Geom. Funct. Anal. 31, No. 3, 483--512 (2021; Zbl 07405882) Full Text: DOI arXiv OpenURL
Ramírez, Felipe A. A note on sequences not having metric Poissonian pair correlations. (English) Zbl 1470.11202 Arch. Math. 116, No. 6, 659-665 (2021). MSC: 11J71 11J83 11K60 11K31 11K38 PDF BibTeX XML Cite \textit{F. A. Ramírez}, Arch. Math. 116, No. 6, 659--665 (2021; Zbl 1470.11202) Full Text: DOI arXiv OpenURL
Ghanmi, Nejib; Abu Muriefah, Fadwa S. On the Diophantine equation \(Cx^2+D=2y^q\). (English) Zbl 07345241 Ramanujan J. 53, No. 2, 389-397 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{N. Ghanmi} and \textit{F. S. Abu Muriefah}, Ramanujan J. 53, No. 2, 389--397 (2020; Zbl 07345241) Full Text: DOI OpenURL
Li, Sanhua; Cai, Yingchun On a Diophantine inequality involving prime numbers. (English) Zbl 1444.11051 Ramanujan J. 52, No. 1, 163-174 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D75 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Cai}, Ramanujan J. 52, No. 1, 163--174 (2020; Zbl 1444.11051) Full Text: DOI OpenURL
Li, Sanhua On a Diophantine equation with prime numbers. (English) Zbl 1462.11084 Int. J. Number Theory 15, No. 8, 1601-1616 (2019). MSC: 11P55 11P32 PDF BibTeX XML Cite \textit{S. Li}, Int. J. Number Theory 15, No. 8, 1601--1616 (2019; Zbl 1462.11084) Full Text: DOI OpenURL
Aistleitner, Christoph; Lachmann, Thomas; Technau, Niclas There is no Khintchine threshold for metric pair correlations. (English) Zbl 1466.11048 Mathematika 65, No. 4, 929-949 (2019). Reviewer: Jean-Paul Allouche (Paris) MSC: 11K06 11K60 11B30 05A18 11B25 PDF BibTeX XML Cite \textit{C. Aistleitner} et al., Mathematika 65, No. 4, 929--949 (2019; Zbl 1466.11048) Full Text: DOI arXiv OpenURL
Lachmann, Thomas; Technau, Niclas On exceptional sets in the metric Poissonian pair correlations problem. (English) Zbl 1457.11105 Monatsh. Math. 189, No. 1, 137-156 (2019). Reviewer: Florian Pausinger (Belfast) MSC: 11K06 11K60 11B30 11B25 PDF BibTeX XML Cite \textit{T. Lachmann} and \textit{N. Technau}, Monatsh. Math. 189, No. 1, 137--156 (2019; Zbl 1457.11105) Full Text: DOI arXiv OpenURL
Cai, Yingchun A ternary Diophantine inequality involving primes. (English) Zbl 1422.11209 Int. J. Number Theory 14, No. 8, 2257-2268 (2018). MSC: 11P55 11J25 PDF BibTeX XML Cite \textit{Y. Cai}, Int. J. Number Theory 14, No. 8, 2257--2268 (2018; Zbl 1422.11209) Full Text: DOI OpenURL
Heath-Brown, D. R. Zeros of pairs of quadratic forms. (English) Zbl 1405.11040 J. Reine Angew. Math. 739, 41-80 (2018). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E12 11E08 11D72 14G05 14G25 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, J. Reine Angew. Math. 739, 41--80 (2018; Zbl 1405.11040) Full Text: DOI arXiv Link OpenURL
Aistleitner, Christoph; Larcher, Gerhard; Lewko, Mark Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems. (English) Zbl 1388.11043 Isr. J. Math. 222, No. 1, 463-485 (2017). Reviewer: Peter Bundschuh (Köln) MSC: 11K06 11K60 PDF BibTeX XML Cite \textit{C. Aistleitner} et al., Isr. J. Math. 222, No. 1, 463--485 (2017; Zbl 1388.11043) Full Text: DOI arXiv OpenURL
Thas, Koen The Weyl functor. Introduction to absolute arithmetic. (English) Zbl 1349.51006 Thas, Koen (ed.), Absolute arithmetic and \(\mathbb{F}_1\)-geometry. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-157-6/hbk; 978-3-03719-657-1/ebook). 3-36 (2016). MSC: 51E15 51E20 51E12 20E42 11G99 14G99 PDF BibTeX XML Cite \textit{K. Thas}, in: Absolute arithmetic and \(\mathbb{F}_1\)-geometry. Zürich: European Mathematical Society (EMS). 3--36 (2016; Zbl 1349.51006) Full Text: DOI arXiv OpenURL
Munshi, Ritabrata Pairs of quadrics in 11 variables. (English) Zbl 1362.11046 Compos. Math. 151, No. 7, 1189-1214 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D72 11D45 11E04 11P55 14G05 PDF BibTeX XML Cite \textit{R. Munshi}, Compos. Math. 151, No. 7, 1189--1214 (2015; Zbl 1362.11046) Full Text: DOI arXiv OpenURL
Wooley, Trevor D. Rational solutions of pairs of diagonal equations, one cubic and one quadratic. (English) Zbl 1333.11034 Proc. Lond. Math. Soc. (3) 110, No. 2, 325-356 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D72 11L15 11P55 11D25 11D09 PDF BibTeX XML Cite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 110, No. 2, 325--356 (2015; Zbl 1333.11034) Full Text: DOI arXiv OpenURL
Hürlimann, Werner A congruent twin number problem. (English) Zbl 1337.11038 Pioneer J. Algebra Number Theory Appl. 1, No. 1, 53-66 (2011). MSC: 11G05 11D25 PDF BibTeX XML Cite \textit{W. Hürlimann}, Pioneer J. Algebra Number Theory Appl. 1, No. 1, 53--66 (2011; Zbl 1337.11038) Full Text: Link OpenURL
Laradji, A.; Mignotte, M.; Tzanakis, N. On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. (English) Zbl 1229.11055 J. Number Theory 131, No. 9, 1575-1596 (2011). Reviewer: Alain Kraus (Paris) MSC: 11D61 PDF BibTeX XML Cite \textit{A. Laradji} et al., J. Number Theory 131, No. 9, 1575--1596 (2011; Zbl 1229.11055) Full Text: DOI arXiv OpenURL
Heath-Brown, D. R. Pair correlation for fractional parts of \(\alpha n^2\). (English) Zbl 1239.11081 Math. Proc. Camb. Philos. Soc. 148, No. 3, 385-407 (2010). Reviewer: Scott T. Parsell (West Chester) MSC: 11K06 11J71 11K60 11J70 11K31 11J54 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Math. Proc. Camb. Philos. Soc. 148, No. 3, 385--407 (2010; Zbl 1239.11081) Full Text: DOI arXiv OpenURL
Hu, Yongzhong A note to the exponential Diophantine equation \(x^2+D^m=p^n\). (Chinese. English summary) Zbl 1131.11332 J. Foshan Univ., Nat. Sci. 25, No. 3, 6-10 (2007). MSC: 11D45 PDF BibTeX XML Cite \textit{Y. Hu}, J. Foshan Univ., Nat. Sci. 25, No. 3, 6--10 (2007; Zbl 1131.11332) OpenURL
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G. Two Diophantine approaches to the irreducibility of certain trinomials. (English) Zbl 1217.11092 Acta Arith. 128, No. 2, 149-156 (2007). Reviewer: Bernat Plans (Barcelona) MSC: 11R09 11R04 11D41 PDF BibTeX XML Cite \textit{M. Filaseta} et al., Acta Arith. 128, No. 2, 149--156 (2007; Zbl 1217.11092) Full Text: DOI OpenURL
Robert, O.; Sargos, P. A fourth derivative test for exponential sums. (English) Zbl 1006.11045 Compos. Math. 130, No. 3, 275-292 (2002). Reviewer: Sidney W.Graham (Mount Pleasant) MSC: 11L07 11N36 11D45 PDF BibTeX XML Cite \textit{O. Robert} and \textit{P. Sargos}, Compos. Math. 130, No. 3, 275--292 (2002; Zbl 1006.11045) Full Text: DOI OpenURL
Bilu, Yu.; Hanrot, G.; Voutier, P. M. [Mignotte, M.] Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). (English) Zbl 0995.11010 J. Reine Angew. Math. 539, 75-122 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11B39 11D59 11J86 11Y50 11R18 PDF BibTeX XML Cite \textit{Yu. Bilu} et al., J. Reine Angew. Math. 539, 75--122 (2001; Zbl 0995.11010) Full Text: DOI OpenURL
Su, Xiaoyan Integer solutions of the system of equations \(x^2-6y^2=1\) and \(y^2-Dz^2=4\). (Chinese. English summary) Zbl 0987.11016 J. Zhangzhou Teach. Coll., Nat. Sci. 13, No. 3, 35-38 (2000). Reviewer: Le Maohua (Zhanjiang) MSC: 11D09 PDF BibTeX XML Cite \textit{X. Su}, J. Zhangzhou Teach. Coll., Nat. Sci. 13, No. 3, 35--38 (2000; Zbl 0987.11016) OpenURL
Chen, Ziyun; Zhang, Benjin On the system of diophantine equations \(x^2-2y^2=1\) and \(y^2-150z^2=4\). (Chinese. English summary) Zbl 0987.11015 J. Cent. China Norm. Univ., Nat. Sci. 34, No. 1, 1-3 (2000). Reviewer: Le Maohua (Zhanjiang) MSC: 11D09 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{B. Zhang}, J. Cent. China Norm. Univ., Nat. Sci. 34, No. 1, 1--3 (2000; Zbl 0987.11015) OpenURL
Godinho, Hemar New results on additive forms of even degree. (English) Zbl 0927.11016 Mat. Contemp. 14, 61-70 (1998). Reviewer: G.Gogishvili (Tbilisi) MSC: 11D79 11D72 11D88 PDF BibTeX XML Cite \textit{H. Godinho}, Mat. Contemp. 14, 61--70 (1998; Zbl 0927.11016) OpenURL
Dujella, Andrej; Pethő, Attila A generalization of a theorem of Baker and Davenport. (English) Zbl 0911.11018 Q. J. Math., Oxf. II. Ser. 49, No. 195, 291-306 (1998). Reviewer: E.L.Cohen (Ottawa) MSC: 11D09 11J86 PDF BibTeX XML Cite \textit{A. Dujella} and \textit{A. Pethő}, Q. J. Math., Oxf. II. Ser. 49, No. 195, 291--306 (1998; Zbl 0911.11018) Full Text: DOI OpenURL
Rudnick, Zeév; Sarnak, Peter The pair correlation function of fractional parts of polynomials. (English) Zbl 0919.11052 Commun. Math. Phys. 194, No. 1, 61-70 (1998). Reviewer: L.Heinrich (Augsburg) MSC: 11K06 60G55 11J71 11K60 PDF BibTeX XML Cite \textit{Z. Rudnick} and \textit{P. Sarnak}, Commun. Math. Phys. 194, No. 1, 61--70 (1998; Zbl 0919.11052) Full Text: DOI OpenURL
Sarnak, Peter Values at integers of binary quadratic forms. (English) Zbl 0911.11032 Drury, S. W. (ed.) et al., Harmonic analysis and number theory. Papers in honour of Carl S. Herz. Proceedings of the conference, April 15–19, 1996, Montréal, Canada. Providence, RI: American Mathematical Society. CMS Conf. Proc. 21, 181-203 (1997). Reviewer: R.Sehmi (Chandigarh) MSC: 11H55 11G99 37-XX 11E16 PDF BibTeX XML Cite \textit{P. Sarnak}, CMS Conf. Proc. 21, 181--203 (1997; Zbl 0911.11032) OpenURL
Ono, Ken Euler’s concordant forms. (English) Zbl 0863.11038 Acta Arith. 78, No. 2, 101-123 (1996). Reviewer: K.Ono (Princeton / NJ) MSC: 11G05 11D09 14H52 PDF BibTeX XML Full Text: DOI EuDML OpenURL
Brüdern, J.; Cook, R. J. On pairs of cubic diophantine inequalities. (English) Zbl 0759.11009 Mathematika 38, No. 2, 250-263 (1991). Reviewer: M.-C.Liu (Hongkong) MSC: 11D75 11J25 PDF BibTeX XML Cite \textit{J. Brüdern} and \textit{R. J. Cook}, Mathematika 38, No. 2, 250--263 (1991; Zbl 0759.11009) Full Text: DOI OpenURL
Wooley, Trevor D. On simultaneous additive equations. I. (English) Zbl 0691.10007 Proc. Lond. Math. Soc., III. Ser. 63, No. 1, 1-34 (1991). Reviewer: T.D.Wooley MSC: 11D88 11D72 11D41 PDF BibTeX XML Cite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 63, No. 1, 1--34 (1991; Zbl 0691.10007) Full Text: DOI OpenURL
Brüdern, Jörg On pairs of diagonal cubic forms. (English) Zbl 0709.11026 Proc. Lond. Math. Soc., III. Ser. 61, No. 2, 273-343 (1990). Reviewer: M.-C.Liu MSC: 11D25 11P55 11P05 PDF BibTeX XML Cite \textit{J. Brüdern}, Proc. Lond. Math. Soc. (3) 61, No. 2, 273--343 (1990; Zbl 0709.11026) Full Text: DOI OpenURL
Wooley, Trevor D. On simultaneous additive equations. III. (English) Zbl 0691.10008 Mathematika 37, No. 1, 85-96 (1990). Reviewer: T.D.Wooley MSC: 11D88 11D72 11D41 PDF BibTeX XML Cite \textit{T. D. Wooley}, Mathematika 37, No. 1, 85--96 (1990; Zbl 0691.10008) Full Text: DOI OpenURL
de Weger, B. M. M. A diophantine equation of Antoniadis. (English) Zbl 0687.10010 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 575-589 (1989). Reviewer: R.J.Stroeker MSC: 11D25 PDF BibTeX XML OpenURL
Atkinson, O. D.; Cook, R. J. Pairs of additive congruences to a large prime modulus. (English) Zbl 0676.10014 J. Aust. Math. Soc., Ser. A 46, No. 3, 438-455 (1989). Reviewer: M.-C.Liu MSC: 11D88 11D41 11D72 11P05 PDF BibTeX XML Cite \textit{O. D. Atkinson} and \textit{R. J. Cook}, J. Aust. Math. Soc., Ser. A 46, No. 3, 438--455 (1989; Zbl 0676.10014) OpenURL
Srinivasa Rao, K.; Rajeswari, V.; King, R. C. Solutions of diophantine equations and degree-one polynomial zeros of Racah coefficients. (English) Zbl 0661.10023 J. Phys. A 21, No. 9, 1959-1970 (1988). Reviewer: B.Richter MSC: 11D25 22E70 PDF BibTeX XML Cite \textit{K. Srinivasa Rao} et al., J. Phys. A, Math. Gen. 21, No. 9, 1959--1970 (1988; Zbl 0661.10023) Full Text: DOI OpenURL
Cook, R. J. Pairs of additive congruences: cubic congruences. (English) Zbl 0586.10012 Mathematika 32, 286-300 (1985). Reviewer: Ming-Chit Liu (Hongkong) MSC: 11D88 11D25 11D79 PDF BibTeX XML Cite \textit{R. J. Cook}, Mathematika 32, 286--300 (1985; Zbl 0586.10012) Full Text: DOI OpenURL
Fortenbacher, Albrecht An algebraic approach to unification under associativity and commutativity. (English) Zbl 0581.68029 Rewriting techniques and applications, 1st Int. Conf., Dijon/France 1985, Lect. Notes Comput. Sci. 202, 381-397 (1985). Reviewer: J.Zlatuška MSC: 68Q65 03B35 11D04 68T15 PDF BibTeX XML OpenURL
Thomas, E.; Vasquez, A. T. Diophantine equations arising from cubic number fields. (English) Zbl 0468.10009 J. Number Theory 13, 398-414 (1981). MSC: 11D99 11A07 11R16 11R27 PDF BibTeX XML Cite \textit{E. Thomas} and \textit{A. T. Vasquez}, J. Number Theory 13, 398--414 (1981; Zbl 0468.10009) Full Text: DOI OpenURL
Campillo, Antonio Algebroid curves in positive characteristic. (English) Zbl 0451.14010 Lecture Notes in Mathematics. 813. Berlin-Heidelberg-New York: Springer-Verlag. V, 168 p. DM 21.50; $ 12.70 (1980). MSC: 14H20 14G99 32B05 13F25 14-02 14E15 PDF BibTeX XML OpenURL
Williams, H. C. Some results on fundamental units in cubic fields. (English) Zbl 0335.12009 J. Reine Angew. Math. 286/287, 75-85 (1976). Reviewer: H. C. Williams MSC: 11R16 11R27 11D09 PDF BibTeX XML Cite \textit{H. C. Williams}, J. Reine Angew. Math. 286/287, 75--85 (1976; Zbl 0335.12009) Full Text: DOI Crelle EuDML OpenURL
Stephens, N. M. Congruence properties of congruent numbers. (English) Zbl 0304.10011 Bull. Lond. Math. Soc. 7, 182-184 (1975). Reviewer: George L. Watson (London) MSC: 11D09 PDF BibTeX XML Cite \textit{N. M. Stephens}, Bull. Lond. Math. Soc. 7, 182--184 (1975; Zbl 0304.10011) Full Text: DOI OpenURL